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Lorent, Loading adressedZeemantrapwithcoldatoms, J.Phys.IVFrance 116, 247 (2004)","work_id":"1d350a5c-297d-4f01-b693-fbc20e018a56","year":2004}],"snapshot_sha256":"d93d922740814f913a03ae27c3456713e835cdb5e393dd703a397f8386e472f7"},"source":{"id":"2511.04385","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-18T00:16:10.669760Z","id":"b35f2803-9ac5-44e4-9a93-22a34a0df856","model_set":{"reader":"grok-4.3"},"one_line_summary":"Dark solitons on a spherical bubble BEC remain stable only below a critical nonlinear parameter and decay into vortex dipoles via a single unstable mode for each m ≥ 2, unlike full 3D cases that produce vortex rings.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Dark solitons on a spherical Bose-Einstein condensate become unstable above a threshold in nonlinear strength and decay into vortex pairs through a single unstable mode for each angular momentum m at least 2.","strongest_claim":"Analytically and numerically, we prove this decay is dictated by a single unstable mode for each angular momentum m ≥ 2, which is a universal mechanism that controls the resulting vortex state.","weakest_assumption":"The condensate is perfectly confined to an infinitesimally thin spherical shell so that the dynamics reduce to an effective 2D nonlinear Schrödinger equation on the sphere; any finite thickness or radial excitations would alter the mode spectrum and possibly the instability threshold."}},"verdict_id":"b35f2803-9ac5-44e4-9a93-22a34a0df856"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3fa9dbf3710c0bc8ecbd9a49b0cdb91ba645bf1a6695e8af7ddd80e01b8ee9e0","target":"record","created_at":"2026-06-01T01:02:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c90fa7e19d7978bd1c6a006844b329e5177f12720e0b3666e8e23cf60a74a7f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2025-11-06T14:09:59Z","title_canon_sha256":"47c45c9ebb566ff7b88441dd4b9451ebe8fa3b94277d81a11556f4996606e292"},"schema_version":"1.0","source":{"id":"2511.04385","kind":"arxiv","version":2}},"canonical_sha256":"e5a8e9f2464516821da75fcea9da670baeed94aa8f86a7f8fe60501de6d48672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5a8e9f2464516821da75fcea9da670baeed94aa8f86a7f8fe60501de6d48672","first_computed_at":"2026-06-01T01:02:24.900710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T01:02:24.900710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1DH0RxIP3FNoz/k7kgVvXEq7rPY1tYflKZfPmlxUgFx+AyqwawaIVC8IneH+A/1A9IiJrn+TjW2jGJAWOky0DA==","signature_status":"signed_v1","signed_at":"2026-06-01T01:02:24.901682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.04385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fa9dbf3710c0bc8ecbd9a49b0cdb91ba645bf1a6695e8af7ddd80e01b8ee9e0","sha256:71f4d8b7505ac6ecc46ebdc7e939a6ad3380c0114b9e820ad00dcfa9658c808f"],"state_sha256":"8cde1cdce15142730b76bcef9eddbfb46a4e92c7c414d95c6eee4578ef5186f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkloXSEO6Pb5AzZ1dNmu9Juou7Qm3MgGTlP3MUQR3EUfJHLNeTX/+sVOac5mCVQH06hyj5tYuweJobTPvyeMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T06:40:21.238959Z","bundle_sha256":"13d08c16cc1c05bf729e4cd09836f33cf3f44cd9e69a599f68043b198c49e3af"}}